506250663227200 has 336 divisors, whose sum is σ = 1324014728973120. Its totient is φ = 189977043271680.

The previous prime is 506250663227147. The next prime is 506250663227251. The reversal of 506250663227200 is 2722366052605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8954930134 + ... + 8954986666.

Almost surely, 2^{506250663227200} is an apocalyptic number.

506250663227200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506250663227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662007364486560).

506250663227200 is an abundant number, since it is smaller than the sum of its proper divisors (817764065745920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506250663227200 is a wasteful number, since it uses less digits than its factorization.

506250663227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59434 (or 59419 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 506250663227200 in words is "five hundred six trillion, two hundred fifty billion, six hundred sixty-three million, two hundred twenty-seven thousand, two hundred".